There are two red balls and eight white balls in the pocket. Party A, Party B and Party C take a ball from them in turn and don't put it back. Are they equally likely to get the red ball? Why?

You can calculate or think symmetrically ~ The probability that everyone gets the red ball is 1/5.

The probability of the first person is: 1/5.

The probability of the second person is:1/5 * (1/9)+4/5 * (2/9).

The probability of the third person is: 4/5 * (4/5) * (2/8)+2 * (1/5) (4/5) (1/8).